Extensions 1→N→G→Q→1 with N=C₅² and Q=D₆

Direct product G=N×Q with N=C₅² and Q=D₆

		d	ρ	Label	ID
S₃×C₅×C₁₀		150		S3xC5xC10	300,46

Semidirect products G=N:Q with N=C₅² and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅²⋊D₆ = C₅²⋊D₆	φ: D₆/C₁ → D₆ ⊆ Aut C₅²	15	6+	C5^2:D6	300,25
C₅²⋊₂D₆ = C₂×C₅²⋊S₃	φ: D₆/C₂ → S₃ ⊆ Aut C₅²	30	3	C5^2:2D6	300,26
C₅²⋊₃D₆ = D₅×D₁₅	φ: D₆/C₃ → C₂² ⊆ Aut C₅²	30	4+	C5^2:3D6	300,39
C₅²⋊₄D₆ = D₁₅⋊D₅	φ: D₆/C₃ → C₂² ⊆ Aut C₅²	30	4	C5^2:4D6	300,40
C₅²⋊₅D₆ = C₅×S₃×D₅	φ: D₆/S₃ → C₂ ⊆ Aut C₅²	30	4	C5^2:5D6	300,37
C₅²⋊₆D₆ = S₃×C₅⋊D₅	φ: D₆/S₃ → C₂ ⊆ Aut C₅²	75		C5^2:6D6	300,38
C₅²⋊₇D₆ = C₁₀×D₁₅	φ: D₆/C₆ → C₂ ⊆ Aut C₅²	60	2	C5^2:7D6	300,47
C₅²⋊₈D₆ = C₂×C₅⋊D₁₅	φ: D₆/C₆ → C₂ ⊆ Aut C₅²	150		C5^2:8D6	300,48

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